Math in Focus Grade 4 Chapter 6 Practice 7 Answer Key Fraction of a Set

Practice the problems of Math in Focus Grade 4 Workbook Answer Key Chapter 6 Practice 7 Fraction of a Set to score better marks in the exam.

Math in Focus Grade 4 Chapter 6 Practice 7 Answer Key Fraction of a Set

Check (✓) the box next to the group of shapes that show \(\frac{3}{5}\) shaded.

Question 1.
Math in Focus Grade 4 Chapter 6 Practice 7 Answer Key Fraction of a Set 1
Answer:
Triangles and squares are shaded in \(\frac{3}{5}\).
Math-in-Focus-Grade-4-Chapter-6-Practice-7-Answer-Key-Fraction-of-a-Set-1

Explanation:
Total number of rhombus = 8.
Number of rhombus shaded = Total number of rhombus × \(\frac{3}{5}\)
= 8 × \(\frac{3}{5}\)
= \(\frac{24}{5}\)
Total number of squares = 10.
Number of squares shaded = Total number of squares × \(\frac{3}{5}\)
= 10 × \(\frac{3}{5}\)
= 2 × 3
= 6.
Total number of triangles = 10.
Number of triangles shaded = Total number of triangles × \(\frac{3}{5}\)
= 15 × \(\frac{3}{5}\)
= 3 × 3
= 6.

What fraction of each set of shapes is shaded? Express your answer in simplest form.

Example
Math in Focus Grade 4 Chapter 6 Practice 7 Answer Key Fraction of a Set 2

Question 2.
Math in Focus Grade 4 Chapter 6 Practice 7 Answer Key Fraction of a Set 3
Answer:
Fraction of shaded squares = 2 ÷ 3 or \(\frac{2}{3}\)
Math-in-Focus-Grade-4-Chapter-6-Practice-7-Answer-Key-Fraction-of-a-Set-2

Explanation:
Total number of squares = 15.
Number of squares shaded = 10.
Fraction of shaded squares = Number of squares shaded ÷ Total number of squares
= 10 ÷ 15
= 2 ÷ 3 or \(\frac{2}{3}\)

 

Question 3.
Math in Focus Grade 4 Chapter 6 Practice 7 Answer Key Fraction of a Set 4
Answer:
Fraction of shaded triangles = 2 ÷ 5 or \(\frac{2}{5}\)
Math-in-Focus-Grade-4-Chapter-6-Practice-7-Answer-Key-Fraction-of-a-Set-3

Explanation:
Total number of triangles = 10.
Number of triangles shaded = 4.
Fraction of shaded triangles = Number of triangles shaded ÷ Total number of triangles
= 4 ÷ 10
= 2 ÷ 5 or \(\frac{2}{5}\)

 

Use a model to help you answer the question.

Example
Math in Focus Grade 4 Chapter 6 Practice 7 Answer Key Fraction of a Set 5

Question 4.
Math in Focus Grade 4 Chapter 6 Practice 7 Answer Key Fraction of a Set 6
Answer:
Math-in-Focus-Grade-4-Chapter-6-Practice-7-Answer-Key-Fraction-of-a-Set-Use a model to help you answer the question-4

Explanation:
3 ÷ 4 × 16 = 3 × 4 = 12.
4 units = 16.
1 unit = 4.
3 units = 12.
So, \(\frac{3}{4}\)× 16 = 3 × 4 = 12.

 

Question 5.
Math in Focus Grade 4 Chapter 6 Practice 7 Answer Key Fraction of a Set 7
Answer:
Math-in-Focus-Grade-4-Chapter-6-Practice-7-Answer-Key-Fraction-of-a-Set-Use a model to help you answer the question-5

Explanation:
5 units = 25.
1 unit = 5.
2 units = 10.
So, \(\frac{2}{5}\) × 25 = 10.

 

Use a model to help you answer the question.

Question 6.
Math in Focus Grade 4 Chapter 6 Practice 7 Answer Key Fraction of a Set 8
Answer:
Math-in-Focus-Grade-4-Chapter-6-Practice-7-Answer-Key-Fraction-of-a-Set-Use a model to help you answer the question-6

Explanation:
6 units = 30.
1 unit = 5.
5 units = 25.
So, \(\frac{5}{6}\)× 30 = 25.

Solve.

Example
\(\frac{2}{3}\) × 15
\(\frac{2}{3}\) of 15 is 10

Question 7.
\(\frac{3}{4}\) × 12
\(\frac{2}{3}\) of 12 is ____
Answer:
\(\frac{3}{4}\) × 12
\(\frac{2}{3}\) of 12 is 8.

Explanation:
\(\frac{3}{4}\) × 12
\(\frac{2}{3}\) of 12 = 2 × 4 = 8.

 

Question 8.
\(\frac{2}{5}\) × 20
\(\frac{2}{5}\) of 20 is ____
Answer:
\(\frac{2}{5}\) × 20
\(\frac{2}{5}\) of 20 is 8.

Explanation:
\(\frac{2}{5}\) × 20
\(\frac{2}{5}\) of 20 = 2 × 4 = 8.

 

Question 9.
\(\frac{6}{7}\) × 42
\(\frac{6}{7}\) of 42 is ____
Answer:
\(\frac{6}{7}\) × 42
\(\frac{6}{7}\) of 42 is 36.

Explanation:
\(\frac{6}{7}\) × 42
\(\frac{6}{7}\) of 42 = 6 × 6 = 36.

 

Fill in the blanks to solve each problem.

Example
Math in Focus Grade 4 Chapter 6 Practice 7 Answer Key Fraction of a Set 9

Question 10.
\(\frac{2}{3}\) of 24 = \(\frac{2}{3}\) × ____
= ____
= ____
= ____
Answer:
\(\frac{2}{3}\) of 24 = \(\frac{2}{3}\) × 24 = 16.

Explanation:
\(\frac{2}{3}\) of 24 = \(\frac{2}{3}\) × 24
= 2 × 8
= 16.

 

Question 11.
\(\frac{3}{4}\) of 32 = ___ × 32
= ____
= ____
= ____
Answer:
\(\frac{3}{4}\) of 32 = \(\frac{3}{4}\) × 32 = 24.

Explanation:
\(\frac{3}{4}\) of 32 = \(\frac{3}{4}\) × 32
= 3 × 8
= 24.

 

Write each answer in the box. Then solve the riddle.

Question 12.
Math in Focus Grade 4 Chapter 6 Practice 7 Answer Key Fraction of a Set 10
Answer:
Math-in-Focus-Grade-4-Chapter-6-Practice-7-Answer-Key-Fraction-of-a-Set-Write each answer in the box-Then solve the riddle-12

Explanation:
\(\frac{1}{4}\) × 28 = 1 × 7 = 7.

 

Question 13.
Math in Focus Grade 4 Chapter 6 Practice 7 Answer Key Fraction of a Set 11
Answer:
Math-in-Focus-Grade-4-Chapter-6-Practice-7-Answer-Key-Fraction-of-a-Set-Write each answer in the box-Then solve the riddle-13

Explanation:
\(\frac{2}{3}\) × 21 = 2 × 7 = 14.

 

Question 14.
Math in Focus Grade 4 Chapter 6 Practice 7 Answer Key Fraction of a Set 12
Answer:
Math-in-Focus-Grade-4-Chapter-6-Practice-7-Answer-Key-Fraction-of-a-Set-Write each answer in the box-Then solve the riddle-14

Explanation:
\(\frac{2}{5}\) × 50 = 2 × 10 = 20.

 

Question 15.
Math in Focus Grade 4 Chapter 6 Practice 7 Answer Key Fraction of a Set 13
Answer:
Math-in-Focus-Grade-4-Chapter-6-Practice-7-Answer-Key-Fraction-of-a-Set-Write each answer in the box-Then solve the riddle-15

Explanation:
\(\frac{3}{4}\) × 24 = 3 × 6 = 18.

 

Question 16.
Math in Focus Grade 4 Chapter 6 Practice 7 Answer Key Fraction of a Set 14
Answer:
Math-in-Focus-Grade-4-Chapter-6-Practice-7-Answer-Key-Fraction-of-a-Set-Write each answer in the box-Then solve the riddle-16

Explanation:
\(\frac{5}{6}\) × 30 = 5 × 5 = 25.

 

Question 17.
Math in Focus Grade 4 Chapter 6 Practice 7 Answer Key Fraction of a Set 15
Answer:
Math-in-Focus-Grade-4-Chapter-6-Practice-7-Answer-Key-Fraction-of-a-Set-Write each answer in the box-Then solve the riddle-17

Explanation:
\(\frac{6}{7}\) × 35 = 6 × 5 = 30.

 

18. Which animals often sleep about 18 to 20 hours a day?
Write the letters that match the answers to find out.
Math in Focus Grade 4 Chapter 6 Practice 7 Answer Key Fraction of a Set 16
Answer:
Math-in-Focus-Grade-4-Chapter-6-Practice-7-Answer-Key-Fraction-of-a-Set-Write each answer in the box-Then solve the riddle-18

Explanation:
Math-in-Focus-Grade-4-Chapter-6-Practice-7-Answer-Key-Fraction-of-a-Set-Write each answer in the box-Then solve the riddle-12Math-in-Focus-Grade-4-Chapter-6-Practice-7-Answer-Key-Fraction-of-a-Set-Write each answer in the box-Then solve the riddle-13

Math-in-Focus-Grade-4-Chapter-6-Practice-7-Answer-Key-Fraction-of-a-Set-Write each answer in the box-Then solve the riddle-14
Math-in-Focus-Grade-4-Chapter-6-Practice-7-Answer-Key-Fraction-of-a-Set-Write each answer in the box-Then solve the riddle-15
Math-in-Focus-Grade-4-Chapter-6-Practice-7-Answer-Key-Fraction-of-a-Set-Write each answer in the box-Then solve the riddle-16
Math-in-Focus-Grade-4-Chapter-6-Practice-7-Answer-Key-Fraction-of-a-Set-Write each answer in the box-Then solve the riddle-17

 

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